Question

Write the equation that satisfies the parameters: two times the sum of a number and 24 equals the difference of 76 and that same number.(1 point)
Responses

2(x+24)=x−76
2 times open paren x plus 24 close paren is equal to x minus 76

2(x+24)=76−x
2 times open paren x plus 24 close paren is equal to 76 minus x

2x+24=76−x
2 x plus 24 is equal to 76 minus x

2x+24=x−76

Answer 1

The correct equation that satisfies the parameters "two times the sum of a number and 24 equals the difference of 76 and that same number" is:

**2(x + 24) = 76 - x**

Explanation:
- "A number" is represented by \( x \).
- "The sum of a number and 24" is \( x + 24 \).
- "Two times the sum" would be \( 2(x + 24) \).
- "The difference of 76 and that same number" is \( 76 - x \).

Thus, putting it all together gives you the equation:

### 2(x + 24) = 76 - x